Edit Profile Gromak, Valeriĭ Ivanovich Compute Distance To: Compute Author ID: gromak.valerii-ivanovich Published as: Gromak, V.; Gromak, V. I.; Gromak, Valeri; Gromak, Valerii; Gromak, Valerii I.; Gromak, Valeriĭ Ivanovic; Gromak, Valery I. External Links: Math-Net.Ru Documents Indexed: 70 Publications since 1973, including 2 Books Biographic References: 1 Publication all top 5 Co-Authors 36 single-authored 10 Tsegel’nik, V. V. 5 Filipuk, Galina V. 4 Gaĭshun, Ivan Vasil’vich 3 Lukashevich, N. A. 2 Il’in, Vladimir Aleksandrovich 2 Izobov, Nikolaĭ Alekseevich 2 Zenchenko, Alexandra S. 1 Amel’kin, Vladimir Vasilievich 1 Andreev, Alekseĭ Fedorovich 1 Atrokhov, K. G. 1 Bachurina, E. V. 1 Golubeva, L. L. 1 Gorokhovik, Valentin Vikent’evich 1 Gricuk, Evgenii 1 Grigor’ev, A. A. 1 Gritsuk, E. V. 1 He, Yuzan 1 Kozulin, A. V. 1 Kozynin, A. V. 1 Laine, Ilpo 1 Laputskiĭ, A. I. 1 Pilipchuk, Ludmila A. 1 Shimomura, Shun 1 Stepanova, T. S. 1 Vasilevich, N. D. 1 Yurchuk, Nikolay Iossifovich all top 5 Serials 18 Differential Equations 13 Differential Equations 6 Differentsial’nye Uravneniya 5 Doklady Akademii Nauk BSSR 5 Vestnik Belorusskogo Gosudarstvennogo Universiteta. Seria 1. Fizika, Matematika, Informatika 3 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 2 Theoretical and Mathematical Physics 2 Trudy Instituta Matematiki 2 Mathematical Modelling and Analysis 1 Teoreticheskaya i Matematicheskaya Fizika 1 Vestnik Belorusskogo Gosudarstvennogo Universiteta Imeni V. I. Lenina. Seriya I 1 Journal of Nonlinear Mathematical Physics 1 De Gruyter Studies in Mathematics all top 5 Fields 60 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 6 Special functions (33-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 2 Quantum theory (81-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 33 Publications have been cited 237 times in 185 Documents Cited by ▼ Year ▼ Painlevé differential equations in the complex plane. Zbl 1043.34100Gromak, V. I.; Laine, Ilpo; Shimomura, Shun 120 2002 Analytic properties of solutions of Painlevé equations. Zbl 0752.34003Gromak, V. I.; Lukashevich, N. A. 32 1990 Bäcklund transformations of Painlevé equations and their applications. Zbl 1023.34082Gromak, Valerii I. 16 1999 Theory of the fourth Painlevé equation. Zbl 0647.34004Gromak, V. I. 8 1987 Special classes of solutions of Painlevé’s equations. Zbl 0526.34002Gromak, V. I.; Lukashevich, N. A. 6 1982 Theory of Painleve’s equation. Zbl 0329.34006Gromak, V. I. 6 1976 Reducibility of Painlevé equations. Zbl 0573.34009Gromak, V. I. 5 1984 On fourth-order nonlinear differential equations with the Painlevé property. Zbl 1148.34057Gromak, V. I. 4 2006 Integrability of complex Pfaffian equations. Zbl 0505.58003Vasilevich, N. D.; Gromak, V. I. 4 1981 Nonlinear evolution equations and P-type controls. Zbl 0599.34042Gromak, V. I. 3 1984 On the theory of higher-order Painlevé equations. Zbl 1088.34076Gromak, V. I.; Zenchenko, A. S. 2 2004 On algebraic solutions of the fifth Painlevé equation. Zbl 1068.34084Gromak, V. I.; Filipuk, G. V. 2 2003 The Bäcklund transformations of the fifth Painlevé equation and their applications. Zbl 1015.34078Gromak, V.; Filipuk, G. 2 2001 Bäcklund transformations of the higher order Painlevé equations. Zbl 1006.34086Gromak, V. I. 2 2001 Functional relations among solutions to the fifth Painlevé equation. Zbl 0997.34086Gromak, V. I.; Filipuk, G. V. 2 2001 The first higher-order Painlevé equation. Zbl 0939.34075Gromak, V. I. 2 1999 On the transcendence of Painlevé equations. Zbl 0880.34005Gromak, V. I. 2 1996 System of three-wave resonant interaction and P-type equations. Zbl 0691.35082Gromak, V. I.; Tsegel’nik, V. V. 2 1989 Solutions of the second Painleve equation. Zbl 0513.34002Gromak, V. I. 2 1982 Solutions of the third Painleve equation. Zbl 0305.34002Gromak, V. I. 2 1975 Solutions of the fourth-order equation in the generalized hierarchy of the second Painlevé equation. Zbl 1422.30039Gromak, V. I. 1 2019 A remark on the theory of nonlinear differential equations with the Painlevé property. Zbl 1219.34114Gritsuk, E. V.; Gromak, V. I. 1 2010 On solutions of the Chazy system. Zbl 1144.34058Gromak, V. I. 1 2007 The power expansions of the solutions of the first Painlevé hierarchy. Zbl 1127.34054Grigor’ev, A. A.; Gromak, V. I. 1 2006 On the transformations of the sixth Painlevé equation. Zbl 1362.34128Gromak, Valery I.; Filipuk, Galina 1 2003 On the algebraic dependence of solutions to the second Painlevé equation. Zbl 1033.34090Gromak, V. I. 1 2002 On solutions to the second Painlevé equation of higher order. Zbl 0988.34078Gromak, V. I.; He, Yuzan 1 2000 Some properties of the Bäcklund transformations of the Painlevé equations. Zbl 0891.34041Gromak, V. I.; Tsegel’nik, V. V. 1 1996 The fifth and sixth Painlevé equations are transcendental. Zbl 0884.34006Gromak, V. I. 1 1996 Functional relations between solutions to \(P\)-type equations. Zbl 0852.34009Gromak, V. I.; Tsegel’nik, V. V. 1 1994 On the solutions of a system of three differential equations with quadratic nonlinearities. Zbl 0727.34008Gromak, V. I.; Tsegel’nik, V. V. 1 1991 Algebraic solutions of the third Painleve equation. Zbl 0441.34003Gromak, V. I. 1 1979 Solutions of Painleve’s fifth problem. Zbl 0365.34011Gromak, V. I. 1 1977 Solutions of the fourth-order equation in the generalized hierarchy of the second Painlevé equation. Zbl 1422.30039Gromak, V. I. 1 2019 A remark on the theory of nonlinear differential equations with the Painlevé property. Zbl 1219.34114Gritsuk, E. V.; Gromak, V. I. 1 2010 On solutions of the Chazy system. Zbl 1144.34058Gromak, V. I. 1 2007 On fourth-order nonlinear differential equations with the Painlevé property. Zbl 1148.34057Gromak, V. I. 4 2006 The power expansions of the solutions of the first Painlevé hierarchy. Zbl 1127.34054Grigor’ev, A. A.; Gromak, V. I. 1 2006 On the theory of higher-order Painlevé equations. Zbl 1088.34076Gromak, V. I.; Zenchenko, A. S. 2 2004 On algebraic solutions of the fifth Painlevé equation. Zbl 1068.34084Gromak, V. I.; Filipuk, G. V. 2 2003 On the transformations of the sixth Painlevé equation. Zbl 1362.34128Gromak, Valery I.; Filipuk, Galina 1 2003 Painlevé differential equations in the complex plane. Zbl 1043.34100Gromak, V. I.; Laine, Ilpo; Shimomura, Shun 120 2002 On the algebraic dependence of solutions to the second Painlevé equation. Zbl 1033.34090Gromak, V. I. 1 2002 The Bäcklund transformations of the fifth Painlevé equation and their applications. Zbl 1015.34078Gromak, V.; Filipuk, G. 2 2001 Bäcklund transformations of the higher order Painlevé equations. Zbl 1006.34086Gromak, V. I. 2 2001 Functional relations among solutions to the fifth Painlevé equation. Zbl 0997.34086Gromak, V. I.; Filipuk, G. V. 2 2001 On solutions to the second Painlevé equation of higher order. Zbl 0988.34078Gromak, V. I.; He, Yuzan 1 2000 Bäcklund transformations of Painlevé equations and their applications. Zbl 1023.34082Gromak, Valerii I. 16 1999 The first higher-order Painlevé equation. Zbl 0939.34075Gromak, V. I. 2 1999 On the transcendence of Painlevé equations. Zbl 0880.34005Gromak, V. I. 2 1996 Some properties of the Bäcklund transformations of the Painlevé equations. Zbl 0891.34041Gromak, V. I.; Tsegel’nik, V. V. 1 1996 The fifth and sixth Painlevé equations are transcendental. Zbl 0884.34006Gromak, V. I. 1 1996 Functional relations between solutions to \(P\)-type equations. Zbl 0852.34009Gromak, V. I.; Tsegel’nik, V. V. 1 1994 On the solutions of a system of three differential equations with quadratic nonlinearities. Zbl 0727.34008Gromak, V. I.; Tsegel’nik, V. V. 1 1991 Analytic properties of solutions of Painlevé equations. Zbl 0752.34003Gromak, V. I.; Lukashevich, N. A. 32 1990 System of three-wave resonant interaction and P-type equations. Zbl 0691.35082Gromak, V. I.; Tsegel’nik, V. V. 2 1989 Theory of the fourth Painlevé equation. Zbl 0647.34004Gromak, V. I. 8 1987 Reducibility of Painlevé equations. Zbl 0573.34009Gromak, V. I. 5 1984 Nonlinear evolution equations and P-type controls. Zbl 0599.34042Gromak, V. I. 3 1984 Special classes of solutions of Painlevé’s equations. Zbl 0526.34002Gromak, V. I.; Lukashevich, N. A. 6 1982 Solutions of the second Painleve equation. Zbl 0513.34002Gromak, V. I. 2 1982 Integrability of complex Pfaffian equations. Zbl 0505.58003Vasilevich, N. D.; Gromak, V. I. 4 1981 Algebraic solutions of the third Painleve equation. Zbl 0441.34003Gromak, V. I. 1 1979 Solutions of Painleve’s fifth problem. Zbl 0365.34011Gromak, V. I. 1 1977 Theory of Painleve’s equation. Zbl 0329.34006Gromak, V. I. 6 1976 Solutions of the third Painleve equation. Zbl 0305.34002Gromak, V. I. 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 181 Authors 17 Kudryashov, Nikolaĭ Alekseevich 12 Clarkson, Peter A. 12 Grammaticos, Basil 12 Ramani, Alfred 9 Filipuk, Galina V. 9 Gromak, Valeriĭ Ivanovich 8 Bruno, Alexander Dmitrievich 8 Goryuchkina, Irina V. 7 Rogers, Colin 7 Tamizhmani, K. M. 5 Chen, Yang 5 Shimomura, Shun 4 Fornberg, Bengt 4 Tamizhmani, Thamizharasi 3 Dai, Dan 3 Deaño, Alfredo 3 Demina, Maria V. 3 Gordoa, Pilar Ruiz 3 Ohta, Yasuhiro 3 Pickering, Andrew 3 Sasaki, Yoshikatsu 3 Slavyanov, Sergeĭ Yur’evich 3 Takahashi, Daisuke A. 3 Top, Jaap 3 Tsegel’nik, V. V. 3 van der Put, Marius 3 Weideman, J. André C. 2 Acosta Humánez, Primitivo Belén 2 Adler, Vsevolod Eduardovich 2 Amel’kin, Vladimir Vasilievich 2 Babich, Mikhail Vasil’evich 2 Bassom, Andrew P. 2 Bershteĭn, Mikhaĭl Aleksandrovich 2 Blower, Gordon 2 Brezhnev, Yurii V. 2 Chen, Min 2 Chen, Zhijie 2 Chen, Zongxuan 2 Chiang, Yik-Man 2 Ciechanowicz, Ewa 2 Deift, Percy A. 2 Dubrovin, Boris Anatol’evich 2 Dunajski, Maciej 2 Fan, Engui 2 Fasondini, Marco 2 Feng, Shaoji 2 Ghose Choudhury, Anindya 2 Guha, Partha 2 Hone, Andrew N. W. 2 Huang, Zhibo 2 Its, Alexander Rudolfovich 2 Kapaev, Andrei A. 2 Kecker, Thomas 2 Korhonen, Risto 2 Kuo, Ting-Jung 2 Laine, Ilpo 2 Lin, Chang-Shou 2 Mugan, Ugurhan 2 Nijhoff, Frank W. 2 Novokshenov, Viktor Yur’evich 2 Papageorgiou, Vassilios G. 2 Sakka, Ayman Hashem 2 Satsuma, Junkichi 2 Shchechkin, A. I. 2 Steinmetz, Norbert 2 Vasilevich, M. N. 2 Zhang, Lun 1 Aleksandrov, Aleksandr Grigor’evich 1 Alves, V. C. C. 1 Amster, Pablo 1 Aratyn, Henrik 1 Atrokhov, K. G. 1 Bagderina, Yuliya Yur’evna 1 Basor, Estelle L. 1 Bleher, Pavel M. 1 Bonelli, Giulio 1 Borisov, Alekseĭ Vladimirovich 1 Bougoffa, Lazhar 1 Bracken, Paul Francis 1 Cârstea, Adrian Ştefan 1 Chankaev, M. Kh. 1 Charlier, Christophe 1 Chen, Hongmei 1 Chen, Min 1 Chen, Yang 1 Chiba, Hayato 1 Christodoulakis, Theodosios 1 Contatto, Felipe 1 Conte, Robert M. 1 Costin, Rodica D. 1 Dai, Dashuang 1 Dereziński, Jan 1 Efimova, Olga Yu. 1 Eremenko, Alexandre Émmanuilovich 1 Gabrielov, Andrei 1 Gamkrelidze, Revaz Valerianovich 1 Goldstein, Piotr P. 1 Gomes, Jose Francisco 1 Gómez-Ullate, David 1 Gontsov, Renat R. ...and 81 more Authors all top 5 Cited in 59 Serials 11 Physics Letters. A 10 Differential Equations 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Journal of Mathematical Analysis and Applications 9 Journal of Mathematical Physics 9 Theoretical and Mathematical Physics 8 Chaos, Solitons and Fractals 7 Physica D 7 Journal of Mathematical Sciences (New York) 7 Computational Methods and Function Theory 6 Doklady Mathematics 6 Journal of Nonlinear Mathematical Physics 5 Journal of Differential Equations 5 Regular and Chaotic Dynamics 4 Applied Mathematics and Computation 4 Studies in Applied Mathematics 4 Constructive Approximation 4 Random Matrices: Theory and Applications 3 Journal d’Analyse Mathématique 3 Letters in Mathematical Physics 3 Journal of Computational and Applied Mathematics 3 Proceedings of the American Mathematical Society 3 Proceedings of the Japan Academy. Series A 2 General Relativity and Gravitation 2 Physica A 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics and Computing 2 Journal of Physics A: Mathematical and Theoretical 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nuclear Physics. B 1 Prikladnaya Matematika i Mekhanika 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Functional Analysis and its Applications 1 Meccanica 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Acta Applicandae Mathematicae 1 Computational Mathematics and Mathematical Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Russian Journal of Mathematical Physics 1 The Ramanujan Journal 1 Abstract and Applied Analysis 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Differential Equations and Applications 1 Science China. Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal all top 5 Cited in 28 Fields 135 Ordinary differential equations (34-XX) 46 Special functions (33-XX) 36 Partial differential equations (35-XX) 34 Dynamical systems and ergodic theory (37-XX) 24 Functions of a complex variable (30-XX) 21 Difference and functional equations (39-XX) 8 Quantum theory (81-XX) 6 Algebraic geometry (14-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year